Quadratic Equations Problems - page 16 of 30
Number of problems found: 584
- Diamond diagonals
Find the diamond diagonal's lengths if the area is 156 cm² and the side is 13 cm long. - Substitution method
Solve a goniometric equation: sin4 θ - 1/cos² θ=cos² θ - 2 - Diagonals of a rhombus 2
One diagonal of a rhombus is greater than the other by 4 cm. If the area of the rhombus is 96 cm2, find the side of the rhombus. - Diagonals of the rhombus
How long are the diagonals e, and f in the diamond if its side is 5 cm long and its area is 20 cm²? - Solve 3
Solve a quadratic equation: (6n+1) (4n-1) = 3n² - Two Numbers Product Constant
The product of two numbers differing by four does not change when we decrease the larger number by two and increase the smaller number by one. What are the numbers? - Express train
An international express train drove from Kosice to Teplice. In the first 279 km, the track was repaired; therefore, it was moving at a speed of 10 km/h less than it was scheduled to drive. The rest of the 465 km trip has increased the speed by 8 km/h to - Non linear eqs
Solve the system of non-linear equations: 3x²-3x-y=-2 -6x²-x-y=-7 - Confectionery
The confectioner needs to carve a cone-shaped decoration from a ball-shaped confectionery mass with a radius of 25 cm. Find the radius of the base of the ornament a (and the height h). He uses as much material as possible is used to make the ornament. - Number factor decomposition The number 135 can be decomposed into the product of two factors, so one will be three greater than 40% of the other. What are these factors?
- On line
On line p: x = 4 + t, y = 3 + 2t, t is R, find point C, which has the same distance from points A [1,2] and B [-1,0]. - Natural number product
The product of two natural numbers is 323, and their difference is 2. Determine the numbers. - MO Z8-I-1 2018
Frank and David meet daily in the elevator. One morning, they found that if they multiply their current age, they get 238. If they did the same after four years, this product would be 378. Determine the sum of the current ages of Frank and David. - Acceleration of a train The train passes 700 m, braking with an acceleration of -0.15 m/s². How long does it break, and what is the final speed of the train if the initial was 55 km/h?
- Distance problem 2
A=(x,2x) B=(2x,1) Distance AB=√2, find the value of x - Distance problem
A=(x, x) B=(1,4) Distance AB=√5, find x; - Two bodies 2
Two bodies start moving simultaneously from the same place in the same direction. The first body moves with uniform acceleration with an initial velocity of 4 m/s and an acceleration of 0.5 m/s², while the second body moves with uniform deceleration with - Two cars 6
Two cars leave the same place one after the other, 15 seconds apart. Both move with uniform acceleration from rest: the first car with an acceleration of 0.5 m/s², and the second car with an acceleration of 2 m/s². Determine: a) the time and distance at w - Polygon Diagonals Sides
The number of diagonals of a given polygon is 88 more than the number of its sides. How many sides does this polygon have - Drug liver elimination
The patient was given the drug, and the measured liver concentration was t hours after administration: c (t) = -0.025 t² + 1.8t. When will the liver product be eliminated entirely?
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